Structural Transition from Helices to Hemihelices

Details for experimental set-up, finite element simulations and analytical model. This file also contains Figures S1–S16.

Video recording for a hemihelix with multiple perversions. Both ends are free to rotate.

Video recording for a hemihelix with only one perversion. Both ends are free to rotate.

Video recording for a helix. Both ends are free to rotate.

Video recording for a hemihelix with multiple perversions. Neither end is free to rotate. The geometry and prestretch are the same as those in Video S1.

Video recording for a hemihelix with two perversions. Neither end is free to rotate. The geometry and prestretch are the same as those in Video S2.

Video recording for a hemihelix with one perversion. Neither end is free to rotate. The geometry and prestretch are the same as those in Video S3.

Video recording for a helix. One end is free to rotate while the other is fixed. The geometry and prestretch are the same as those in Video S3.

Video recording for a hemihelix with one perversion under water. Both ends are free to rotate. The geometry and prestretch are the same as those in Video S2.

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Description

Helices are amongst the most common structures in nature and in some cases, such as tethered plant tendrils, a more complex but related shape, the hemihelix forms. In its simplest form it consists of two helices of opposite chirality joined by a perversion. A recent, simple experiment using elastomer strips reveals that hemihelices with multiple reversals of chirality can also occur, a richness not anticipated by existing analyses. Here, we show through analysis and experiments that the transition from a helical to a hemihelical shape, as well as the number of perversions, depends on the height to width ratio of the strip's cross-section. Our findings provides the basis for the deterministic manufacture of a variety of complex three-dimensional shapes from flat strips.

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Liu, Jia; Huang, Jiangshui; Su, Tianxiang; Bertoldi, Katia; Clarke, David R. (2014): Structural Transition from Helices to Hemihelices. . PLOS ONE.
. Retrieved 00:04, Nov 27, 2014 (GMT).
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